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Finding the Third Proportional to 80,838 and 176,360

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Solution

The third proportional to 80,838 and 176,360 is: 384,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,838 : 176,360 = 176,360 : x
  2. Step 2: Convert to fraction form
    80,838/176,360 = 176,360/x
  3. Step 3: Cross multiply
    80,838x = 176,360 × 176,360
  4. Step 4: Simplify right side
    80,838x = 31,102,849,600
  5. Step 5: Solve for x
    x = 31,102,849,600/80,838
  6. Step 6: Final answer
    x = 384,755.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.